IP (Indeterminate Progression)
Algebra
Level
4
Which term of an arithmetic progression will be 40 more than its 36th term if each term of this AP differs by 5?
28
76
None of these choices
44
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1 solution
Let the required term be 'b,' the first term 'a,' the common difference 'd' and the required term position be 'n.' So its given that:
Now, it is given that the terms DIFFER by 5. Hence, the common difference d can be either 5 or (-5). Hence, when d=5, n=44 and when d=(-5), n=28. Since none of the answer sets have BOTH 44 and 28, the answer is 'actual answer set is not given.'